{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 158,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from datetime import datetime\n",
    "from datetime import timedelta\n",
    "from pandas.plotting import register_matplotlib_converters\n",
    "from statsmodels.tsa.stattools import acf, pacf\n",
    "from statsmodels.tsa.statespace.sarimax import SARIMAX\n",
    "register_matplotlib_converters()\n",
    "from time import time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Catfish Sales Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [],
   "source": [
    "def parser(s):\n",
    "    return datetime.strptime(s, '%Y-%m-%d')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "metadata": {},
   "outputs": [],
   "source": [
    "#read data\n",
    "catfish_sales = pd.read_csv('catfish.csv', parse_dates=[0], index_col=0, squeeze=True, date_parser=parser)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "metadata": {},
   "outputs": [],
   "source": [
    "#infer the frequency of the data\n",
    "catfish_sales = catfish_sales.asfreq(pd.infer_freq(catfish_sales.index))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_date = datetime(1996,1,1)\n",
    "end_date = datetime(2000,1,1)\n",
    "lim_catfish_sales = catfish_sales[start_date:end_date]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(lim_catfish_sales)\n",
    "plt.title('Catfish Sales in 1000s of Pounds', fontsize=20)\n",
    "plt.ylabel('Sales', fontsize=16)\n",
    "for year in range(start_date.year,end_date.year):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Remove the trend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {},
   "outputs": [],
   "source": [
    "first_diff = lim_catfish_sales.diff()[1:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 165,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x26731b2af48>"
      ]
     },
     "execution_count": 165,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(first_diff)\n",
    "plt.title('Catfish Sales in 1000s of Pounds', fontsize=20)\n",
    "plt.ylabel('Sales', fontsize=16)\n",
    "for year in range(start_date.year,end_date.year):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)\n",
    "plt.axhline(0, color='k', linestyle='--', alpha=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ACF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 20 artists>"
      ]
     },
     "execution_count": 166,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "acf_vals = acf(first_diff)\n",
    "num_lags = 20\n",
    "plt.bar(range(num_lags), acf_vals[:num_lags])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Based on ACF, we should start with a seasonal MA process"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PACF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 236,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 15 artists>"
      ]
     },
     "execution_count": 236,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pacf_vals = pacf(first_diff)\n",
    "num_lags = 15\n",
    "plt.bar(range(num_lags), pacf_vals[:num_lags])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Based on PACF, we should start with a seasonal AR process"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Get training and testing sets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 194,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_end = datetime(1999,7,1)\n",
    "test_end = datetime(2000,1,1)\n",
    "\n",
    "train_data = lim_catfish_sales[:train_end]\n",
    "test_data = lim_catfish_sales[train_end + timedelta(days=1):test_end]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fit the SARIMA Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 196,
   "metadata": {},
   "outputs": [],
   "source": [
    "my_order = (0,1,0)\n",
    "my_seasonal_order = (1, 0, 1, 12)\n",
    "# define model\n",
    "model = SARIMAX(train_data, order=my_order, seasonal_order=my_seasonal_order)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 197,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model Fitting Time: 0.4917430877685547\n"
     ]
    }
   ],
   "source": [
    "#fit the model\n",
    "start = time()\n",
    "model_fit = model.fit()\n",
    "end = time()\n",
    "print('Model Fitting Time:', end - start)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 198,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                 Statespace Model Results                                 \n",
      "==========================================================================================\n",
      "Dep. Variable:                              Total   No. Observations:                   43\n",
      "Model:             SARIMAX(0, 1, 0)x(1, 0, 1, 12)   Log Likelihood                -365.635\n",
      "Date:                            Fri, 03 Apr 2020   AIC                            737.269\n",
      "Time:                                    16:43:30   BIC                            742.482\n",
      "Sample:                                01-01-1996   HQIC                           739.180\n",
      "                                     - 07-01-1999                                         \n",
      "Covariance Type:                              opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "ar.S.L12       0.8250      0.120      6.848      0.000       0.589       1.061\n",
      "ma.S.L12      -0.5187      0.197     -2.632      0.008      -0.905      -0.132\n",
      "sigma2       1.78e+06    4.7e+05      3.791      0.000     8.6e+05     2.7e+06\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                       55.29   Jarque-Bera (JB):                 1.13\n",
      "Prob(Q):                              0.05   Prob(JB):                         0.57\n",
      "Heteroskedasticity (H):               0.81   Skew:                            -0.30\n",
      "Prob(H) (two-sided):                  0.70   Kurtosis:                         2.46\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
     ]
    }
   ],
   "source": [
    "#summary of the model\n",
    "print(model_fit.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 215,
   "metadata": {},
   "outputs": [],
   "source": [
    "#get the predictions and residuals\n",
    "predictions = model_fit.forecast(len(test_data))\n",
    "predictions = pd.Series(predictions, index=test_data.index)\n",
    "residuals = test_data - predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 223,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Error')"
      ]
     },
     "execution_count": 223,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(residuals)\n",
    "plt.axhline(0, linestyle='--', color='k')\n",
    "plt.title('Residuals from SARIMA Model', fontsize=20)\n",
    "plt.ylabel('Error', fontsize=16)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 217,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "\n",
    "plt.plot(lim_catfish_sales)\n",
    "plt.plot(predictions)\n",
    "\n",
    "plt.legend(('Data', 'Predictions'), fontsize=16)\n",
    "\n",
    "plt.title('Catfish Sales in 1000s of Pounds', fontsize=20)\n",
    "plt.ylabel('Production', fontsize=16)\n",
    "for year in range(start_date.year,end_date.year):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 218,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean Absolute Percent Error: 0.0433\n"
     ]
    }
   ],
   "source": [
    "print('Mean Absolute Percent Error:', round(np.mean(abs(residuals/test_data)),4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 219,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Root Mean Squared Error: 1122.3009354240558\n"
     ]
    }
   ],
   "source": [
    "print('Root Mean Squared Error:', np.sqrt(np.mean(residuals**2)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Using the Rolling Forecast Origin"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 229,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\ritvik\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\statespace\\sarimax.py:993: UserWarning: Non-invertible starting seasonal moving average Using zeros as starting parameters.\n",
      "  warn('Non-invertible starting seasonal moving average'\n",
      "C:\\Users\\ritvik\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\statespace\\sarimax.py:981: UserWarning: Non-stationary starting seasonal autoregressive Using zeros as starting parameters.\n",
      "  warn('Non-stationary starting seasonal autoregressive'\n"
     ]
    }
   ],
   "source": [
    "rolling_predictions = test_data.copy()\n",
    "for train_end in test_data.index:\n",
    "    train_data = lim_catfish_sales[:train_end-timedelta(days=1)]\n",
    "    model = SARIMAX(train_data, order=my_order, seasonal_order=my_seasonal_order)\n",
    "    model_fit = model.fit()\n",
    "\n",
    "    pred = model_fit.forecast()\n",
    "    rolling_predictions[train_end] = pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 230,
   "metadata": {},
   "outputs": [],
   "source": [
    "rolling_residuals = test_data - rolling_predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 231,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Error')"
      ]
     },
     "execution_count": 231,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(rolling_residuals)\n",
    "plt.axhline(0, linestyle='--', color='k')\n",
    "plt.title('Rolling Forecast Residuals from SARIMA Model', fontsize=20)\n",
    "plt.ylabel('Error', fontsize=16)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 232,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "\n",
    "plt.plot(lim_catfish_sales)\n",
    "plt.plot(rolling_predictions)\n",
    "\n",
    "plt.legend(('Data', 'Predictions'), fontsize=16)\n",
    "\n",
    "plt.title('Catfish Sales in 1000s of Pounds', fontsize=20)\n",
    "plt.ylabel('Production', fontsize=16)\n",
    "for year in range(start_date.year,end_date.year):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 233,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean Absolute Percent Error: 0.0288\n"
     ]
    }
   ],
   "source": [
    "print('Mean Absolute Percent Error:', round(np.mean(abs(rolling_residuals/test_data)),4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 234,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Root Mean Squared Error: 803.9733619136064\n"
     ]
    }
   ],
   "source": [
    "print('Root Mean Squared Error:', np.sqrt(np.mean(rolling_residuals**2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
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